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2 years ago

Which of the following numbers must be added to complete the square in the equation below?

Mathematics

2 answers:

OLga [1]2 years ago

4 0

First, take half of the coefficient of 18x then square it.

18 / 2 = 9
9^2 = 81

So, D. 81 is the answer.

Elenna [48]2 years ago

4 0

Answer:

I’m pretty sure the answer is 54

Step-by-step explanation:

The top answer seemed to only do the first step in the equation but if you take 81 and subtract it by -27, the complete answer equals 54. NEVERMIND!!! after reading the question again, 81 is most likely the correct answer.

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Toby wants to buy 2 concert tickets that cost $19 each. His makes $4.75 an hour while he mows lawns. How many hours will he need

nikitadnepr [17]

Cost of a ticket = $19
So, cost of two tickets = 19 * 2 = $38

Now, he makes, $4.75 in an hour.
Let, the number of hours for that much money = x

It would be: 4.75x = 38
x = 38 / 4.75
x = 8 hours

In short, Your Answer would be 8 hours

Hope this helps!

8 0

3 years ago

A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each

ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

Step-by-step explanation:

Hello,

Let's note

a the number of $10 bills

b the number of $20 bills

The total value is $520 so we can write the first equation (1)

$\boxed{\sf 10a \ + \ 20b \ = \ 520 }$

We know that there are 32 bills in total so we can write the second equation (2)

$\boxed{\sf a \ + \ b \ = \ 32 }$

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

Find the area of the shaded region

o-na [289]

so hmmm let's get the area of the whole hexagon, and then get the area of the circle inside it, then subtract the area of the circle from that of the hexagon's, what's leftover is what we didn't subtract, namely the shaded part.

$\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\cot\stackrel{\stackrel{degrees}{\downarrow }}{\left( \frac{180}{n} \right)}~ \begin{cases} n=\textit{number of sides}\\ s=\textit{length of a side}\\[-0.5em] \hrulefill\\ n=\stackrel{hexagon}{6}\\ s=\frac{9}{2} \end{cases}\implies A=\cfrac{1}{4}(6)\left( \cfrac{9}{2} \right)^2 \cot\left( \cfrac{180}{6} \right)$

$A=\cfrac{1}{4}(6)\cfrac{9^2}{2^2} \cot(30^o)\implies A=\cfrac{243}{8}\cot(30^o)\implies A=\cfrac{243\sqrt{3}}{8} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{4}{5} \end{cases}\implies A=\pi \left( \cfrac{4}{5} \right)^2\implies A=\cfrac{16\pi }{25} \\\\[-0.35em] ~\dotfill$

$\stackrel{\textit{area of the hexagon}}{\cfrac{243\sqrt{3}}{8}}~~ - ~~\stackrel{\textit{area of the circle}}{\cfrac{16\pi }{25}}\implies \cfrac{6075\sqrt{3}-128\pi }{200}$

5 0

2 years ago

Given that

olga55 [171]

Step-by-step explanation:

6 0

3 years ago

Someone please help me answer this

Brrunno [24]

B= 30
a2+b2=c2
72^2+b^2 = 78^2
5184+b^2 = 6084
b2 = 900
b = 30

8 0

2 years ago

Read 2 more answers